MASS MULTIFRACTALITY IN FRAGMENTATION

It is shown that a diffusive fragmentation process leads to distributions that exhibit mass multifractality. The model is based on a power-law distribution for propagating cracks in a solid host that are modeled as random walks of finite length. This dynamic generates fragment distributions characterized by exponents that are consistent with several experiments and results in a geometric configuration of cracks that shows a multifractal character at the time of maximal fragment diversity. © 1995 The American Physical Society.